{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5DS7GMNDKFXYL4GCI6DK36GR5B","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b08ffb26b68c732b99ba659b2546c478e209a6a91191248403b6d505136dd111","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-04-19T11:27:42Z","title_canon_sha256":"0fb4ed8d3b77ed44796291c31232498afa9d21e0d6e41404015fdf97225cc3f0"},"schema_version":"1.0","source":{"id":"1704.05697","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.05697","created_at":"2026-05-18T00:40:04Z"},{"alias_kind":"arxiv_version","alias_value":"1704.05697v1","created_at":"2026-05-18T00:40:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05697","created_at":"2026-05-18T00:40:04Z"},{"alias_kind":"pith_short_12","alias_value":"5DS7GMNDKFXY","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5DS7GMNDKFXYL4GC","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5DS7GMND","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:4ac7dda17ad57c6af3d2cc5ebbd5b447b6eae7da937235cad5e96aa283ba6326","target":"graph","created_at":"2026-05-18T00:40:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We obtain Euler-Lagrange equations, transversality conditions and a Noether-like theorem for Herglotz-type variational problems with Lagrangians depending on generalized fractional derivatives. As an application, we consider a damped harmonic oscillator with time-depending mass and elasticity, and arbitrary memory effects.","authors_text":"Delfim F. M. Torres, Giorgio S. Taverna, Roberto Garra","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-04-19T11:27:42Z","title":"Fractional Herglotz Variational Principles with Generalized Caputo Derivatives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05697","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:817f25a74ef2e59feee932540d8847c4fc5bd4572fa856ccdd656a1b4ec3198d","target":"record","created_at":"2026-05-18T00:40:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b08ffb26b68c732b99ba659b2546c478e209a6a91191248403b6d505136dd111","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-04-19T11:27:42Z","title_canon_sha256":"0fb4ed8d3b77ed44796291c31232498afa9d21e0d6e41404015fdf97225cc3f0"},"schema_version":"1.0","source":{"id":"1704.05697","kind":"arxiv","version":1}},"canonical_sha256":"e8e5f331a3516f85f0c24786adf8d1e85f31ac7cb3547c4f3ac85c39a543ecba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8e5f331a3516f85f0c24786adf8d1e85f31ac7cb3547c4f3ac85c39a543ecba","first_computed_at":"2026-05-18T00:40:04.048426Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:04.048426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gw0ZxK52T3xKiGQ/JZgUMV0yUVOXEN5pVuijk+enWYzIXnMIXUBcMuX2uqZQAFKd6U9oA1GoxJLVgDP0KGzgDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:04.049052Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.05697","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:817f25a74ef2e59feee932540d8847c4fc5bd4572fa856ccdd656a1b4ec3198d","sha256:4ac7dda17ad57c6af3d2cc5ebbd5b447b6eae7da937235cad5e96aa283ba6326"],"state_sha256":"910d85ff116a0512d1593a0e0f55c2e1e8bc93484d7ac0b1faf07e15d1f4482f"}